The Mompox Sequence, $a(n):=1, 2, 6, 24, 120, 20, \ldots$ (OEIS [A008336][1]), is the sequence of positive integers whose first term is $1$, and in which the $n$-th term (after the first one) equals the previous term divided by $n$ if the result is an integer, or times $n$ if not. 

Is the Mompox sequence an S-sequence (S-sequences are described [here][2]), that is, are all its terms distinct?


  [1]: https://oeis.org/A008336
  [2]: https://puzzling.stackexchange.com/questions/112772/introducing-s-sequences-which-is-the-shortest-to-contain-all-integers-1-to-20